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Property and Equipment - Additional Information (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 27, 2022
May 28, 2021
May 27, 2022
May 28, 2021
Property, Plant and Equipment [Abstract]        
Depreciation expense $ 10.6 $ 9.1 $ 30.3 $ 19.5